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Finding the Third Proportional to 144,366,819 and 311,744,914.50

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Solution

The third proportional to 144,366,819 and 311,744,914.50 is: 673,180,252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,366,819 : 311,744,914.50 = 311,744,914.50 : x
  2. Step 2: Convert to fraction form
    144,366,819/311,744,914.50 = 311,744,914.50/x
  3. Step 3: Cross multiply
    144,366,819x = 311,744,914.50 × 311,744,914.50
  4. Step 4: Simplify right side
    144,366,819x = 97,184,891,716,612,304
  5. Step 5: Solve for x
    x = 97,184,891,716,612,304/144,366,819
  6. Step 6: Final answer
    x = 673,180,252.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.